Mathematics BSc (Hons)

Program Overview

Mathematics BSc (Hons)

Course Overview

This course is designed to enable you to gain expertise in advanced analytical and numerical techniques for mathematical formulation and quantitative solution of real-world problems, hone abstract reasoning and critical thinking skills to become a globally competent mathematician aware of your social responsibilities, and become adept at quickly learning new complex ideas and confidently contributing solutions via personal impact and effective collaboration.

What You'll Study

• Advanced mathematical concepts; abstract reasoning; critical thinking; learning new ideas; collaboration and teamwork.

Year One

• Calculus – 20 credits
  • This module provides core calculus for those undertaking degrees in the mathematics area.
• Algebra – 20 credits
  • The aim of the module is two-fold. First, to introduce you to modern algebra by taking what you have learned at high school and placing it in the context of university mathematics.
• Programming 1: Concepts and Algorithms – 20 credits
  • In order to explore mathematics in a practical way, we often have to rely on computational simulations.
• Probability and Statistics – 20 credits
  • This module builds a foundation for the study of statistics in future years.
• Mechanics and Numerical Methods – 20 credits
  • The aim of this module is to introduce Newtonian mechanics and its use, as well as various mathematical modelling tools, with the accent on computational tools, to describe real-world situations.
• Mathematical Case Studies – 20 credits
  • The module consists of a series of problem-solving challenges on mathematics; statistics and physics in order to build up your course identity among fellow students.

Year Two

• Further Calculus and Complex Analysis – 20 credits
  • This module will build on the earlier module, Calculus.
• Linear Algebra and Differential Equations – 20 credits
  • This module continues linear algebra and differential equations from the first year with the overlap between the areas emphasised.
• Groups and Rings – 20 credits
  • The module will introduce you to fundamental concepts of modern abstract algebra starting with groups.
• Partial Differential Equations and Analytical Mechanics – 20 credits
  • The module acts as an introduction to the vast fields of Partial Differential Equations (PDEs) and Analytical Mechanics.
• Real Analysis – 20 credits
  • By starting with only the basic properties of real numbers, a rigorous approach will be pursued whereby the main results in elementary differential calculus are proven.
• Linear Statistical Models – 20 credits
  • This module will introduce two of the most commonly used statistical techniques, multiple regression and analysis of variance (ANOVA).

Placement Year

• UK Work Placement – 0 credits
  • This module provides you with an opportunity to reflect upon and gain experience for an approved placement undertaken during your programme.
• International Study/Work Placement – 0 credits
  • This module provides you with an opportunity to reflect upon and gain experience for an approved international study/work placement undertaken during your programme.

Final Year

• Number Theory and Cryptography – 20 credits
  • This module will present to you a foundational treatment of number theory, covering many important practical results such as the Chinese Remainder Theorem and Hensel’s Lemma.
• Advanced Topics in Mathematics – 20 credits
  • In this module, you will be introduced to a selection of advanced mathematical methods such as asymptotic analysis and Green’s functions to solve a range of complex real-world problems well beyond the scope of previous modules.
• Fluid Dynamics – 20 credits
  • This is an introductory module in fluid dynamics.
• Project – 20 credits
  • This module forms a major individual study at the honour’s level in areas related to mathematics or applied mathematics.
• Optional Modules
  • Financial Mathematics – 20 credits
    • The module serves two goals. First, the module introduces you to the main instruments that are traded in the financial markets including their practical uses for investment, hedging and speculation.
  • Topology and Applications – 20 Credits
    • The purpose of the module is to provide you with an elementary introduction to the methods of algebraic topology via homology of simplicial complexes.
  • Quantum Information and Quantum Computation – 20 credits
    • In this module you will be introduced to fundamental concepts of quantum information and quantum computation; discuss applications with and without quantum advantage; engage with contemporary software.
  • Advanced Topics in Statistics – 20 credits
    • This module introduces you to several important topics in the areas of advanced statistics.

How You'll Learn

Learning will be facilitated through a variety of methods which may include lectures, seminars, lab, workshops, online activities and group work.

Assessment

This course will be assessed using a variety of methods which will vary depending upon the module. Assessment methods may include:

• formal examinations
• phase tests
• essays
• group work
• presentations
• reports
• projects
• coursework
• individual assignments.

International Experience Opportunities

If you have a desire to gain international experience, there are opportunities to spend a year studying abroad.

Entry Requirements

• UK: 120 UCAS points
• International: 31 points to include 5 points in Mathematics at Higher level
• Other qualifications and experience: Considered on an individual basis

Fees and Funding

• UK, Ireland, Channel Islands or Isle of Man: £9,535 per year
• EU: £9,535 per year with EU Support Bursary
• International: £18,300 per year

Facilities

• The School of Computing, Mathematics and Data Science is based in the Engineering and Computing Building, and the attached Beatrice Shilling Building.
• Digital Literacy Centre
• sigma Centre
• Mathematics laboratory

Careers and Opportunities

A mathematics degree opens a range of career opportunities in industry, accountancy, banking, computer analysis, marketing, industrial design, management, and scientific research. You could be employed in a variety of roles, for example, as an actuarial analyst, actuary, forensic accountant, operational researcher, research scientist, teacher, statistician, or stockbroker.

Further Study

You may decide to pursue postgraduate study opportunities by studying courses such as Data Science MSc. You may be entitled to an alumni discount on your fees if you decide to extend your time with us by progressing from undergraduate to postgraduate study.